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2 years ago

Given the function f(x) = 3+9(x-1) find the value of f(8)

Mathematics

2 answers:

Juliette [100K]2 years ago

6 0

To solve this, plug in 8 for X

3+9(8-1) then solve

3+9(7)

3+63

66

I hope I've helped!

aleksandr82 [10.1K]2 years ago

3 0

F(8)= 3+9(8-1)
f(8)= 3+63
=66

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An animal shelter provides a bowl with 1.55 liters of water for 5 cats.

Archy [21]

Answer: The answer is 0.8 liters of water.

Step-by-step explanation: Well there are 5 cats and each cat drinks .15 liters per day. .15x5 = .75 liters of water. 1.55 liters - .75 liters = 0.8 liters left.

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2 years ago

The graphs of the equation y = 4x + 1 and y - kx = 10 are perpendicular when k = _______?

Ann [662]

Answer:

$k=-\frac{1}{4}$

Step-by-step explanation:

we have

Line 1

$y=4x+1$

Equation in slope intercept form

The slope is equal to

$m_1=4$

Line 2

$y-kx=10$

$y=kx+10$

Equation in slope intercept form

The slope is equal to

$m_2=k$

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

$m_1*m_2=-1$

substitute

$(4)(k)=-1$

$k=-\frac{1}{4}$

3 0

3 years ago

Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.

zlopas [31]

Answer:

x = 1

Explanation:

$\sf \rightarrow log(3x) + log(x + 4) = log(15)$

Rule: log(a) + log(b) = log(ab)

$\sf \rightarrow log(3x(x + 4)) = log(15)$

cancel out log on both sides

$\sf \rightarrow 3x(x + 4) = 15$

relocate constant variable

$\sf \rightarrow 3x^2 + 12x -15 = 0$

take 3 as a common factor

$\sf \rightarrow 3(x^2 + 4x -5) = 0$

divide both sides by 3

$\sf \rightarrow x^2 + 4x -5 = 0$

middle term split

$\sf \rightarrow x^2 + 5x -x-5 = 0$

factor common terms

$\sf \rightarrow x(x + 5) -1(x+5)= 0$

collect into groups

$\sf \rightarrow (x-1)(x+5)= 0$

set to zero

$\sf \rightarrow x-1 = 0 , \ x+5= 0$

relocate variables

$\sf \rightarrow x = 1, \ x = -5$

There must be a positive solution for log, so the solution is only x = 1

3 0

1 year ago

Read 2 more answers

(a) the person closes their eyes, grabs a coin at random, and ips the coin. what is the probability the lower face of the coin i

weqwewe [10]

Both are 1/2 because there is two sides so half the time it would be heads and half would be tails

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2 years ago

Find the perimeter of the figure shown above. a. 18 yds c. 20 yds b. 10 yds d. 24 yds Please select the best answer from the cho

ycow [4]

<h3>Answer: 24 yards, choice D</h3>

There are 4 sides to this figure (trapezoid). The left slanted side and the right most vertical side, combined with the top and bottom horizontal sides, will get us the perimeter.

left slanted side = 5 yards

right most vertical side = 4 yards (see note below)

bottom side = 9 yards

top side = 6 yards

Add up the four sides mentioned: 5+4+9+6 = 9+15 = 24

note: the rectangle has opposite sides that are the same length. While the right most side isn't labeled, it is the same length as the left side of the rectangle, so both are 4 yards long.

Another thing I should probably mention is that we do not add in the interior 4 yard side. The perimeter is only the outer or exterior sides we care about. Think of it like we're trying to fence around some property lot and we don't want to subdivide the property up. Finding the perimeter will help us find the amount of fencing needed to surround the property.

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2 years ago